Climate Change and Mathematics
Climate change affects humans and natural environments today and particularly in the future. Mathematical knowhow is necessary in producing knowledge about climate change, understanding it as a phenomenon and contributing to the climate debate. Therefore, learning mathematics plays an important role in building a climate-friendly world by raising critical thinkers, active citizens and young scientists.
Climatology needs Mathematics
Scientists discovered the first signs of climate change already over 100 years ago, and ever since then knowledge of climate issues has increased and become more accurate. However, there has been a great deal of procrastination over developing mitigation strategies. This indicates that scientists alone can’t fix the problem, but solving it requires participants from all walks of life.
Learning mathematics boosts abstract thinking, which is an essential tool for anyone interested in climate issues. The senses are not the only authoritative source of knowledge and it is not possible for any individual to perceive planetary climate change. Weather and climate form a complex system affected by ever-changing conditions of the atmosphere, oceans, glaciers and land. The climate of a specific place is determined by the average weather conditions over a long period of time. In other words, climate is about weather statistics and therefore climate change is a statistical phenomenon, the effects of which are seen in the world around us. Thus climate science requires large-scale application of mathematics.
Mathematics is needed for describing and projecting changing climate and communicating those findings. In order to describe the changing climate, we need to know first of all what is “normal”. For this, we have to calculate environmental measurements concerning temperature, rainfall, snow cover, sea level, amount of carbon dioxide in the atmosphere etc. By calculating averages, analyzing variance and making diagrams, we can find out whether the climate has changed and how.
Predicting future climate requires mathematical modelling with differential equations and stochastic methods. Climate models are complex entities and they require, inter alia, different types of atmospheric, oceanic and cloud modelling as well as modelling of their interconnectedness. As a result, we can get many different projections of future changes in the climate. These models are useful for decision-makers, businesses and active citizens pondering action over climate change mitigation.
Climate knowledge is embodied in texts, diagrams and charts. Communicating this complex information within the scientific community and among decision-makers, planners and the public requires an audience with mathematical literacy. Thus communicating climate knowledge requires mathematical skills within both the producers as well as the consumers of this knowledge.
How Mathematics can make a Difference
Mathematics is a powerful tool for effective problem solving as well as exercising power – including political power. Therefore, mathematics is linked to human-made value assessments benefitting some more than others. Hence, mathematics is not neutral. This concerns the boundary conditions in models, algorithm design and choice of parameters. However, decision-making based on sheer mathematics excludes a number of factors that cannot be mathematized, such as human values, friendship and empathy.
To participate efficiently in a democratic society, students need a critical understanding of mathematics, its possibilities and limitations as a tool of producing knowledge. This should also apply to finding solutions for climate change, as well as playing a role as an active citizen.
Exercises
1. GREENHOUSE GAS EMISSIONS ACCOUNTING
- Finland´s greenhouse gas emissions were 60.1 million tonnes of carbon dioxide (CO2 eq). That was 5% less than in the previous year. If the emissions continue to decrease at a similar rate, how much carbon dioxide will Finland will produce in 2050?
- Human emissions of CO2 are 10 Gt per year. Write a linear equation for emissions going down to zero by 2050.
- Human emissions of CO2 are 10 Gt per year. What is the percentual decrease in emissions if it were to be 1Mt by 2050?
- If emissions increase by 2% per year, what would be the total amount of emissions over the next two years? Use integration to calculate the result.
2. GREENHOUSE GAS EMISSIONS OF TRANSPORT
Lipasto unit emissions database by VTT Technical Research Centre of Finland covers emission factors for transport. (http://lipasto.vtt.fi/yksikkopaastot/indexe.htm). Explore the site and find out the average carbon dioxide emissions when the following vehicles travel a distance of 50 km:
- Gasoline-driven car
- Intercity train
- Ferry (Finland-Sweden)
- Long-haul flight
- Which vehicle produces the most CO2 emissions per person?
3. RISING TEMPERATURES
A series of activities concerning the rise of average global temperatures for junior high school and high school students: http://spacemath.gsfc.nasa.gov/Modules/6Mod10Prob1.pdf
4. THE RISE IN ATMOSPHERIC CARBON DIOXIDE
A series of activities about the rise of average global atmospheric carbon dioxide for junior high school and high school students: http://spacemath.gsfc.nasa.gov/Modules/6Mod10Prob2.pdf
5. SEA LEVEL RISE
A series of activities about the average rise of sea levels for secondary school and high school students: http://spacemath.gsfc.nasa.gov/Modules/6Mod10Prob5.pdf
6. CARBON CYCLE
A graph interpretation exercise for secondary school students on NASA’s website page 23: http://spacemath.gsfc.nasa.gov/SMBooks/SMEarthV2.pdf
7. MODELING THE KEELING CURVE
An Excel practice exercise for high school students on NASA’s website page 22:http://spacemath.gsfc.nasa.gov/SMBooks/SMEarthV2.pdf
8. EARTH’S ATMOSPHERE
Exercises on Earth’s atmosphere on NASA’s website page 19: http://spacemath.gsfc.nasa.gov/SMBooks/SMEarthV2.pdf
9. WORLD POWER CONSUMPTION
Exercises on electricity use on NASA’s website page 18: http://spacemath.gsfc.nasa.gov/SMBooks/SMEarthV2.pdf
10. HOUSEHOLD POWER CONSUMPTION
Exercises on household electricity use on NASA’s website page 15: http://spacemath.gsfc.nasa.gov/SMBooks/SMEarthV2.pdf